No. Kinetic energy, gravitational potential energy, heat energy, elastic energy, chemical energy, atomic bond energy, and so-on, are not 'solid'. When matter is 'converted to energy' by, for example, fission or fusion, it's actually converted to other forms of the energy of stuff - particles with high kinetic energy, photons with high frequencies, etc. Ultimately, stuff is made of quantum fields, and the energy of stuff is the energy of quantum fields in different states.
As I've said elsewhere, an analogy might be financial value - it comes in many forms and can be converted from one form to another, but doesn't exist in its own right.